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Finding the Fourth Proportional to 330,563.84, 456,051.84 and 203,198.72

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Solution

The fourth proportional to 330,563.84, 456,051.84 and 203,198.72 is: 280,336.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,563.84 : 456,051.84 = 203,198.72 : x
  2. Step 2: Convert to fraction form
    330,563.84/456,051.84 = 203,198.72/x
  3. Step 3: Cross multiply
    330,563.84x = 456,051.84 × 203,198.72
  4. Step 4: Simplify right side
    330,563.84x = 92,669,150,141.64
  5. Step 5: Solve for x
    x = 92,669,150,141.64/330,563.84
  6. Step 6: Final answer
    x = 280,336.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.